Transformations of the Sine Function by DavidA
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Precal
This example demonstrates the graphical transformations of the sine function f(x)=a*sin(b(x-c))+d. Key mathematical concepts include amplitude scaling, period changes, translations, and vertical shifts. Construction involves GeoGebra commands like Function, Intersect, Segment, and Midpoint to set parameters and draw graphs. Suitable for high school mathematics courses to understand sine function transformations and geometric construction techniques.
GeoGebra Commands & Parameters
Function(f, c, c + 2 * π / b) → gIntersect(h, i) → BSegment(A, B) → lSegment(J, K) → kMidpoint(k) → LIntersect(h, t) → MSegment(C, M) → a_1